Question

A bomber is flying horizontally with a constant speed of 150 m/s at a height of 78.4 m. The pilot has to drop a bomb at the energy target. At what horizontal distance from the target should be release the bomb

• A. Zero
• B. 300 m
• C. 600 m
• D. 750 m

Answer 1

The correct option is C 600 m

Since the bomber drops the bomb from a height of $78.4m$, the time taken for the bomb to reach the ground will be given by $s=ut+\frac{1}{2}a{t}^2$ where,

$u$ is the initial velocity in the vertical direction which is $0$

$s$ is the vertical displacement from the ground which is $-78.4m$

a is the acceleration due to gravity $g=-9.8m{s}^{-}2$

Upon substituting these values we get $t=4s$

Since the flight is moving in the horizontal direction with a speed of $150m/s$, the distance covered by the bomb in the horizontal direction by the time it reaches the ground is given by $(150\ast 4)m$ which is equal to $600m$

$\therefore$The bomb should be released $600m$ away from the target